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Problem Solving And Data Analysis · Probability

SAT Probability Practice Questions (Free + Explanations) | Quiz 2

Question 12345 of 5

Question 1 of 5

A student recorded the results of 50 spins of a game wheel. The table shows the number of times the wheel landed on each color.

| Color | Number of spins |
| --- | --- |
| Red | 18 |
| Blue | 12 |
| Green | 10 |
| Yellow | 10 |

Based on these results, what is the experimental probability that the next spin will land on blue?

Explanation

Experimental probability is found by dividing the number of favorable outcomes by the total number of outcomes. The favorable outcome is landing on blue, which happened 12 times. The total number of spins is 50. So the experimental probability is .

Concept summary

Experimental probability is calculated as using data from the table.

Question 2 of 5

A box contains 4 green tiles and 6 yellow tiles. One tile is chosen at random. Which statement must be true about the probability of choosing a green tile?

Explanation

The probability of choosing a green tile is . Since and , the probability is less than . Therefore, the statement that must be true is "It is less than ."

Concept summary

Probability is the number of favorable outcomes divided by the total number of outcomes. Then compare that fraction to the values in the answer choices.

Question 3 of 5

A jar contains 6 beads of equal size: 2 red, 1 blue, and 3 yellow. One bead is chosen at random. What is the probability that the bead chosen is either red or blue?

Explanation

There are 6 beads total. A bead that is either red or blue can be chosen in favorable ways. Therefore, the probability is .

Concept summary

To find probability, divide the number of favorable outcomes by the total number of equally likely outcomes. For an "or" event, add the favorable outcomes for each category.

Question 4 of 5

A community garden gives away seed packets at a spring event. Of the 40 packets available, 12 are tomato, 18 are carrot, and the rest are lettuce. If one packet is chosen at random, what is the probability that it is lettuce?

Explanation

First find the number of lettuce packets. There are 40 packets total, and 12 + 18 = 30 of them are tomato or carrot. So the number of lettuce packets is 40 - 30 = 10. The probability of choosing a lettuce packet is therefore .

Concept summary

To find a probability, divide the number of favorable outcomes by the total number of possible outcomes.

Question 5 of 5

A game uses a fair spinner with 8 equal sections numbered 1 through 8. A player wins if the spinner lands on an even number and then a fair coin flipped once lands on heads. What is the probability that the player wins?

Explanation

The spinner has 8 equal sections numbered 1 through 8, and 4 of those numbers are even: 2, 4, 6, and 8. So the probability of landing on an even number is . The probability of flipping heads on a fair coin is also . Because both events must happen, multiply the probabilities: . Therefore, the probability that the player wins is .

Concept summary

For independent events, the probability that both happen is found by multiplying their individual probabilities.

Your results

0of 5 correct

Estimated SAT Math band

500-550

Illustrative range from this short quiz—not an official College Board score.

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Your results

1of 5 correct

Estimated SAT Math band

500-550

Illustrative range from this short quiz—not an official College Board score.

Adaptive practice, weak-area review, and timed tests live in the MCQsLearn app—pick up where you left off on your phone.

More SAT Math practice

Your results

2of 5 correct

Estimated SAT Math band

600-650

Illustrative range from this short quiz—not an official College Board score.

Adaptive practice, weak-area review, and timed tests live in the MCQsLearn app—pick up where you left off on your phone.

More SAT Math practice

Your results

3of 5 correct

Estimated SAT Math band

600-650

Illustrative range from this short quiz—not an official College Board score.

Adaptive practice, weak-area review, and timed tests live in the MCQsLearn app—pick up where you left off on your phone.

More SAT Math practice

Your results

4of 5 correct

Estimated SAT Math band

700+

Illustrative range from this short quiz—not an official College Board score.

Adaptive practice, weak-area review, and timed tests live in the MCQsLearn app—pick up where you left off on your phone.

More SAT Math practice

Your results

5of 5 correct

Estimated SAT Math band

700+

Illustrative range from this short quiz—not an official College Board score.

Adaptive practice, weak-area review, and timed tests live in the MCQsLearn app—pick up where you left off on your phone.

More SAT Math practice